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Finding the Third Proportional to 3,115.97 and 4,165.17

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Solution

The third proportional to 3,115.97 and 4,165.17 is: 5,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.97 : 4,165.17 = 4,165.17 : x
  2. Step 2: Convert to fraction form
    3,115.97/4,165.17 = 4,165.17/x
  3. Step 3: Cross multiply
    3,115.97x = 4,165.17 × 4,165.17
  4. Step 4: Simplify right side
    3,115.97x = 17,348,656.75
  5. Step 5: Solve for x
    x = 17,348,656.75/3,115.97
  6. Step 6: Final answer
    x = 5,567.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.